Pith Number

pith:QB6PVFUI

pith:2012:QB6PVFUIF6VHRQ4HOF7O2VCUEC

not attested not anchored not stored refs pending

On the asymptotic expansion of complete Ricci-flat Kahler metrics on quasi-projective manifolds

Bianca Santoro

arxiv:1205.1027 v1 · 2012-05-04 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QB6PVFUIF6VHRQ4HOF7O2VCUEC}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:56:23.332069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

807cfa96882faa78c387717eed545420bb373b62ddf6e00dfd87d7b68f9ff8e9

Aliases

arxiv: 1205.1027 · arxiv_version: 1205.1027v1 · doi: 10.48550/arxiv.1205.1027 · pith_short_12: QB6PVFUIF6VH · pith_short_16: QB6PVFUIF6VHRQ4H · pith_short_8: QB6PVFUI

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/QB6PVFUIF6VHRQ4HOF7O2VCUEC \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 807cfa96882faa78c387717eed545420bb373b62ddf6e00dfd87d7b68f9ff8e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "465c94984a28909c37d95c2c7099096a88336bf8208bb44684026154f151c620",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-05-04T18:24:43Z",
    "title_canon_sha256": "cb1a616128f938a47e00de5c006a25b5a6b3c1c5a772bfe7b5ee953cc6978450"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1027",
    "kind": "arxiv",
    "version": 1
  }
}